RT journal article
T1 On generating the set of nondominated solutions of a linear programming problem with parameterized fuzzy numbers
A1 Arana Jiménez, Manuel
A1 Sánchez Gil, María del Carmen
A2 Estadística e Investigación Operativa
K1 Fully fuzzy linear programming problem
K1 Parameterized fuzzy numbers
K1 Multiobjective optimization
AB The paper presents a new method for solving fully fuzzy linear programming problems with inequality constraints and parameterized fuzzy numbers, by means of solving multiobjective linear programming problems. The equivalence is proven between the set of nondominated solutions of the fully fuzzy linear programming problem and the set of weakly efficient solutions of the considered and related multiobjective linear problem. The whole set of nondominated solutions for a fully fuzzy linear programming problem is explicitly obtained by means of a finite generator set.
YR 2019
FD 2019-10-24
LK http://hdl.handle.net/10498/25369
UL http://hdl.handle.net/10498/25369
LA eng
NO The first author was partially supported by the research project MTM2017-89577-P (MINECO, Spain), and the second author was partially supported by Spanish Ministry of Economy and Competitiveness through grants AYA2016-75931-C2-1-P, AYA2015-68012-C2-1, AYA2014-57490-P, AYA2013-40611-P, and from the Consejería de Educación y Ciencia (Junta de Andalucía) through TIC-101, TIC-4075 and TIC-114.
DS Repositorio Institucional de la Universidad de Cádiz
RD 11-nov-2026